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p-adic renormalization group solutions and the euclidean renormalization group conjectures

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Abstract

We discuss algebraic similarity of the Wilson’s renormalization groups in the Euclidean and p-adic spaces. Automodel Hamiltonians have identical form in both cases in the framework of perturbation theory. Fermionic p-adic model has exact renormalization group solution which generates a list of non-trivial conjectures for the Euclidean case.

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Correspondence to M. D. Missarov.

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Dedicated to Igor Vasilievich Volovich on the occasion of his 65th birthday

The text was submitted by the author in English.

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Missarov, M.D. p-adic renormalization group solutions and the euclidean renormalization group conjectures. P-Adic Num Ultrametr Anal Appl 4, 109–114 (2012). https://doi.org/10.1134/S2070046612020033

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  • DOI: https://doi.org/10.1134/S2070046612020033

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